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Abelian Theorems for Hardy Transformations

Published online by Cambridge University Press:  20 November 2018

R. S. Pathak  and
J. N. Pandey
R. S. Pathak
Affiliation:
Department of Math., Carleton University, Ottawa, Ontario, Canada
J. N. Pandey
Affiliation:
Department of Math., Carleton University, Ottawa, Ontario, Canada
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Abstract

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Initial and final value theorems for Hardy transformations and of a suitably chosen function f(x) under a certain set of conditions on v and p where

1

Jv(x) and Yv(x) being Bessel functions of the first and second kind, and

2

su, v(x) being Lommel's function, are proved.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 3 , 01 September 1977 , pp. 331 - 335
Copyright
Copyright © Canadian Mathematical Society 1977

References

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